Section 1.3: Functions
Exercise 3
Prove that the Greatest Integer Function \(f : \mathbb{R} \to \mathbb{R}\), given by
\(f(x) = [x]\), is neither one-one nor
onto,
where \([x]\) denotes the greatest
integer less than or equal to \(x\).
Prove that the Greatest Integer Function \(f : \mathbb{R} \to \mathbb{R}\), given by
\(f(x) = [x]\), is neither one-one nor
onto,
where \([x]\) denotes the greatest
integer less than or equal to \(x\).